[0001] The present invention relates, generally speaking, to the analysis and correction
of wave surfaces in real time and, more particularly, to an interferometer with shearing
or lateral duplication that serves in measuring the phase distortion of a wave-front.
[0002] Wave surfaces analysis means measurement of the phase differences in the wave delivered
by an optical system or instrument with respect to a reference wave surface that would
have resulted from the same optical system if assumed to be perfect and unaffected
by the atmospheric turbulence.
[0003] The wave can be adversely affected by aberrations in the instrument (e.g. in the
case of a very large mirror becoming deformed under the effect of various stresses,
or a mosaic system made up of multiple mirrors) or by phenomena related to atmospheric
propagation (turbulence, thermal defocalization).
[0004] The advantage of wavefront analysis in real time is to be able to apply a correction
instantaneously to the wave surface using a deformable mirror or, more generally,
an adaptive optical system, and thus to free the system of the aforesaid disturbances.
[0005] In the current state of the art, wavefront analysis and correction systems working
in real time have two types of application both requiring very high spatial resolution
(less than or equal to 100 prad): fine aiming for a laser beam and very long range
imagery (astronomy, satellite observation). In these applicational fields, the apertures
in question are approximately one meter in dimension and the adaptive optical arrangement
makes it possible to reach a resolution limit dependent solely on diffraction and
no longer on phase defects.
[0006] In high-power laser aiming systems based on what are called "return waves", use is
made of a wave surface analyzer on the basis of which a deformable mirror is positioned
in order to transmit a conjugate wave of the wave received and which focuses perfectly
on the target.
[0007] As far as very long range optical imagery systems are concerned, it is possible with
the wave surface analyzing device to detect phase distortions in the wave front falling
on the entrance pupil into the optical system, and a deformable mirror is controlled
by the analyzing device in order to correct the wave front for the distortions thus
detected.
[0008] Optical systems are known especially through patent US-A-3923400 for forming the
image of an object through the atmosphere, where such systems comprise a device working
in real time for detecting and correcting the phase of the wavefront as seen by these
optical systems, said device comprising:
-interferometry means based on shearing or lateral duplication receiving the disturbed
wavefront, determining the relative phase differences in real time between the various
regions in thus disturbed wavefront and producing signals representing the said phase
differences;
-means responding to the said phase-difference signals for simultaneously producing,
in parallel and in real time, signals representing phase corrections to be made to
the various regions in the disturbed wavefront in order to obtain a corrected wavefront;
and
-phase correcting means receiving the disturbed wavefront and responding to the phase
correcting signals to modify the phase difference in real time between the various
regions of the disturbed wave front and change the shape of this disturbed wave front
to generate a corrected wave front.
[0009] The purpose of the lateral-duplication interferometer is to duplicate the wavefront
to measure the phase difference between the two overlapping regions of the wavefront.
To measure this phase difference, at the output from a detector placed in the interference
plane, an interference signal is created with modulation thereof obtained by moving
one of the portions of the lateral-duplication interferometer.
[0010] In the aforesaid patent, the lateral-shear interferometer is formed of an optical
diffraction grating producing two cones in two slightly divergent angular directions
with a common area of overlap. The wavefront is therefore duplicated and it is possible
to measure the phase difference between two neighbouring areas of the wavefront. This
is achieved by modulating the interference pattern and by detecting the relative phase
of this interference pattern at various points therein. The use in the aforesaid patent
of an interferometer with lateral shear and diffraction grating results in difficulties
in tuning the interferometer due to the existence of different diffraction orders
within a grating and the need for overlap between just two orders, only 0 and 1 or
-1 and 0.
[0011] The diffraction gratings in the prior art are moved either in translation or in rotation
(cf. "Radial Grating Shear Heterodyne Interferometer", by Chris L. Koliopoulus, Applied
Optics, May 1, 1980, vol. 19, No. 9, pages 1523 and sq.) for modulating the interference
pattern. The interference in higher orders gives rise to frequency modulations that
are multiples of the basic modulation frequency that must be filtered.
[0012] At a point in the interference plane, the interference is observed after filtering
between the points M(x) and M(x+Δx) and between M(x) and M(xΔx). An exact calculation
shows that the phases of these two modulations are identical if the phase shifts

and

are identical, i.e. if the wave is locally planar, which is something of a hindrance.
[0013] In accordance with the invention, the lateral-duplication interferometer incorporates
offset dihedrons. The shift in the wavefront stems from the offset of one of the dihedrons.
At each point in the interference plane, only two points of the wavefront interfere.
The interference pattern modulation is achieved by causing saw-tooth oscillation in
one of the dihedrons, whereat the oscillation amplitude is preferably V4.
[0014] The wavefront analysis system embodying the invention does not carry any higher diffraction
orders and causes interference between just two waves. The interference pattern is
simplified and the optical efficiency improved. There is no need to suppose that the
wave is locally planar. Whatever its shape, the only parameter that is measured is

The lateral offset is easy to set.
[0015] The invention will now be described in detail in relation to the appended drawings,
in which:
Fig. 1 is an optical diagram of a wave surface analyzing and correcting device as
in the prior art;
Fig. 2 represents the dihedral interferometer embodying the invention;
Fig. 3 represents this dihedral interferometer more precisely with a single analysis
beam running therethrough;
Fig. 4 represents an example of the actuator positions in the pupil plane; and
Fig. 5 represents an example corresponding to Figure 4 showing the position of the
photodetectors both for duplication along x and duplication along y.
[0016] With reference to Figure 1 that recaps on the prior art, depicted is an objective
lens 10 on the entrance pupil into a telescopic optical. system where said lens delivers
an un-corrected image of a distant object in the focal plane 11 of the optical system.
This image can be severely distorted as a result of random phase inversions and phase
shifts in the wavefront due to atmospheric turbulence or aberrations in the optical
system.
[0017] In Figure 1, the telescope is used as a refractive optical instrument but, of course,
the prior art is valid also for reflective telescopic optical systems. A field lens
12 and a relay lens 13 are associated with the objective 10 to generate an image of
the wavefront received by the entrance pupil on a phase correcting device 14 such
as a deformable mirror. The wavefront image produced on the phase corrector 14 makes
it possible for the latter to modify selectively the phase of the wavefront surface
elements. The wavefront is reflected from the surface of the deformable mirror 14
towards a beam splitter 15 that separates the beam into a first beam focused by a
lens 16 onto an image detector 17 and a second beam focused by a lens 18 onto a phase
distortion detector 20. This phase distortion detector 20 controls the phase correcting
device 14 by means of the data processor 19.
[0018] The phase correcting device 14 can be a deformable piezoelectrically controlled-mirror.
The phase distortion detecting device is a shear interferometer which, in the aforesaid
American patent, is of the duplicational type with a diffraction grating.
[0019] The invention relates to a new interferometer used as the phase distortion detector
20.
[0020] The interferometer with lateral duplication as shown in Figure 2 comprises two reflective
dihedrons 201 and 202 with an aperture of 90° and parallel edges. The beam from the
telescope falls onto the splitter 203 where it is divided into two parallel beams
204 along x and 205 along y respectively situated on either side of a separative line
206 running through the edge of the dihedron 202. The beam 205 runs through a Wollaston
45° prism 207 that rotates the image through 90° about the beam axis.
[0021] Both beams 204 and 205 fall onto a splitter 208 that splits each beam into two beams
204' and 204", 205' and 205" that are respectively reflected by the two dihedrons
201 and 202 and are brought back together to interfere in the interference plane 210.
[0022] Vibrational movement is imparted to the dihedron 201 by means of a piezoelectric
chip 211 driven by a high voltage alternating current generator 212. The high voltage
frequency is for example 100 Hz.
[0023] If the interfering vibrational phases are given as (p(x) and (p(x+Ax) and their phase
difference is

then the maximum fringe intensity is given by

[0024] If the dihedron oscillates at a frequency of wl2n, the intensity of the point x is
given by (the modulation is assumed to be a sawtooth modulation):

[0025] The result then at a point of abscissa x is a signal having a modulated component
with a phase shift with respect to the excitation signal that is equal to the phase
difference sought after.
[0026] The dihedron 202 is mounted on a translational plate 213 and its position is set
by a micrometer screw 214. The appropriate setting determines the dimensions Ax and
Ay of the zone where the two wavefronts overlap. By way of an example, Δx and Ay can
take values of a few tenths of a millimeter.
[0027] As a variation to the foregoing, the Wollaston prism can be eliminated. The analysis
with respect to y is carried out with a second identical interferometer comprising
two or more reflective dihedrons arranged like the dihedrons 201 and 202, where the
edges of the second interferometer are perpendicular to those of the first.
[0028] Figure 4 depicts the layout of the 21 actuators 51 of the deformable mirror.
[0029] Figure 5 shows the layout of the 16 photodetectors 52 for measuring the x-wise phase
shift and the layout (identical) of the 16 photodetectors 52 for measuring the y-wise
phase shift. The data processor 19 computes the values of the activating voltages
based on the 2x16 phase shift values along x and y. This computation is carried out
as in the prior art, and as a result processor 19 is not embodied in the present invention.
1. A device for the real-time detection and correction of phase distortions in a wavefront
being imaged by an optical system, said device comprising:
a-means (20) responsive to phase differences between different areas of said distorted
wavefront for simultaneously generating in real time phase correction signals indicative
of phase corrections for different areas of said distorted wavefront to achieve a
corrected wavefront;
b-phase corrector means (14, 19) having said distorted wavefront incident thereon
and being responsive to said phase correction signals for changing in real time phase
differences between different areas of said distorted wavefront and changing the shape
of said distorted wavefront to achieve said corrected wavefront; and
c-a lateral shearing interferometer means (20), having said distorted wavefront incident
thereon, for determining relative phase differences between different areas of said
distorted wavefront, and for generating signals indicative of said phase differences,
characterized in that said lateral shearing interferometer means includes at least
two reflecting dihedrons (201, 202) having each an aperture angle of 90°, the bisecting
lines of which cross at the center of the interferometer means for shifting one of
the dihedrons (202) through a predetermined distance parallel to the bisecting plane
of the other dihedron (201) and means (211, 212) for vibrating the other dihedron
parallel to its own bisecting plane.
2. A device for the real-time detection and correction of phase distortions in a wavefront
according to claim 1, characterized in that the means for vibrating the other dihedron
(201) parallel with its own bisecting plane is a piezoelectric means (211) driven
by an alternating current (212).
1. Vorrichtung zur Echtzeit-Untersuchung und Korrektur von Phasenstörungen in einer
von einem optischen System abgebildeten Wellenfront mit
a-Einrichtungen (20), die auf Phasenunterschiede zwischen verschiedenen Bereichen
der gestörten Wellenfront zur gleichzeitigen Echtzeit-Erzeugung von Phasenkorrektursignalen
ansprechen, welche Phasenkorrekturen für verschiedene Bereiche der gestörten Wellenfront
zur Gewinnung einer korrigierten Wellenfront anzeigen;
b-Phasenkorrektureinrichtungen (14, 19), auf welche die gestörte Wellenfront einfällt,
und die auf die Phasenkorrektursignale zur Echtzeit-Veränderung von Phasenunterschieden
zwischen verschiedenen Bereichen der gestörten Wellenfront und zur Änderung der Form
der gestörten Wellenfront zur Gewinnung der korrigierten Wellenfront ansprechen; und
c-ein Interferometer (20) mit seitlicher Strahlaufspaltung, in welches die gestörte
Wellenfront einfällt, zur Bestimmung der relativen Phasenunterschiede zwischen verschiedenen
Bereichen der gestörten Wellenfront und zur Erzeugung von Signalen, die die Phasenunterschiede
anzeigen, dadurch gekennzeichnet, daß das Interferometer mit seitlicher Stahlaufspaltung
wenigstens zwei reflektierende Dieder (201, 202) aufweist, von denen jeder einen Öffnungswinkel
von 90° besitzt und deren Winkelhalbierungslinien sich in der Mitte des Interferometers
schneiden, wobei einer der Dieder (202) um eine vorbestimmte Strecke parallel zur
Winkelhalbierungsebene des anderen Dieders (201) verschoben werden kann, sowie Mittel
(211, 212) zum Schwingen des anderen Dieders parallel zu seiner eigenen Winkelhalbierungsebene
umfaßt.
2. Vorrichtung zur Echtzeit-Erfassung und Korrektur von Phasenstörungen in einer Wellenfront
nach Anspruch 1, dadurch gekennzeichnet, daß die Mittel zum Schwingen des anderen
Dieders (201) parallel zu seiner eigenen Winkelhalbierungsebene eine piezoelektrische
Einrichtung (211) ist, die von einem Wechselstrom (212) beaufschlagt ist.
1. Dispositif de détection en temps réel et de correction de la distorsion de phase
de fronts d'onde imagés par un système optique, ledit dispositif comprenant:
(a) des moyens (20) répondant à des différences de phase entre diverses surfaces desdits
fronts d'onde affectés de distorsions pour générer simultanément en temps réel des
signaux de correction de phase représentant des corrections de phase pour différentes
surfaces desdits fronts d'onde pour réaliser des fronts d'ondes corrigés;
(b) des moyens de correction de phase (14-19) recevant lesdits fronts d'onde affectés
de distorsion et répondant auxdits signaux de correction de phase pour modifier en
temps réel les différences de phase entre les différentes surfaces desdits fronts
d'onde affectés de distortion et modifiant la forme desdits fronts d'onde effectés
de distorsion pour réaliser lesdits fronts d'onde corrigés; et
(c) des moyens (20) d'interférométrie de cisaillement latéral, recevant lesdits fronts
d'onde affectés de distorsion pour déterminer des différences de phase relatives entre
les différentes surfaces desdits fronts d'onde affectés de distorsion et pour générer
des signaux représentant lesdits différences de phase, caractérisé en ce que
lesdits moyens d'interférométrie de cisaillement latéral comprennent au moins deux
dièdres réfléchissants (201, 202) ayant chacun un angle d'ouverture de 90°, dont les
lignes bissectrices se coupent au centre desdits moyens d'interférométrie pour déplacer
l'un des dièdres (202) d'une distance prédéterminée parallèlement au plan bissecteur
de l'autre dièdre (201) et des moyens (211, 212) pour metre en vibration l'autre dièdre
parallèlement à sont propre plan bissecteur.
2. Dispositif de détection en temps réel et de correction de la distorsion de phase
de fronts d'onde conforme à la revendication 1, caractérisé en ce que les moyens de
faire vibrer l'autre dièdre (201) parallèlement à son propre plan bissecteur sont
des moyens piézoélectriques (211) entraînes par un courant alternatif (212).